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Finding the Fourth Proportional to 382.73, 527.51 and 320.36

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Solution

The fourth proportional to 382.73, 527.51 and 320.36 is: 441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.73 : 527.51 = 320.36 : x
  2. Step 2: Convert to fraction form
    382.73/527.51 = 320.36/x
  3. Step 3: Cross multiply
    382.73x = 527.51 × 320.36
  4. Step 4: Simplify right side
    382.73x = 168,991.27
  5. Step 5: Solve for x
    x = 168,991.27/382.73
  6. Step 6: Final answer
    x = 441.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.